Geodesics on hyperbolic surfaces and volumes of link complements in Seifert-fibered spaces-Andrés

Let Γ be a link in a Seifert-fibered space M over a hyperbolic surface Σ that projects injectively to a collection of closed geodesics γ in Σ. When γ is filling, the complement of Γ in M admits a hyperbolic structure of finite volume. We give bounds of its volume in terms of topological invariants of (γ,Σ).